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Abstract: We consider solutions of a scalar reaction-diffusion equation of the ignitiontype with a random, stationary and ergodic reaction rate. We show thatsolutions of the Cauchy problem spread with a deterministic rate in the longtime limit. We also establish existence of generalized random traveling wavesand of transition fronts in general heterogeneous media.



Author: James Nolen, Lenya Ryzhik

Source: https://arxiv.org/







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